Practice Problem #16 pg. 307: A researcher theorized that people can hear better when they have just eaten a large meal. Six individuals were randomly assigned to eat either a large meal or a small meal. After eating the meal, their hearing was tested. The hearing ability scores (high numbers indicate greater ability) are given in the following table. Using the .05 level, do the results support the researcherís theory? (a) Use the steps of hypothesis testing, (b) sketch the distributions involved.. See Chart Below

A,B & C being the Big Meal Group and their corresponding scores, and D, E & F being the Small Meal Group and their corresponding scores